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A Cardy-like formula for rotating black holes with planar horizon

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arxiv 1702.02416 v5 pith:WSWANBOA submitted 2017-02-08 hep-th

Moisés Bravo Gaete , Luis Guajardo , Mokhtar Hassaïne This is my paper · ORCID
classification hep-th
keywords blackformulacardy-likeholesplanarhorizonrotatingsoliton
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abstract

We show that the semiclassical entropy of $D$-dimensional rotating (an)isotropic black holes with planar horizon can be successfully computed according to a Cardy-like formula. This formula does not refer to any central charges but instead involves the vacuum energy which is identified with a gravitational bulk soliton. The soliton is obtained from the non-rotating black hole solution by means of a double analytic continuation. The robustness of the Cardy-like formula is tested with numerous and varied examples, including AdS, Lifshitz and hyperscaling violation planar black holes.

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Cited by 3 Pith papers

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  1. Cardy Entropy of Charged and Rotating Asymptotically AdS and Lifshitz Solutions with a Generalized Chern-Simons term

    hep-th 2025-06 conditional novelty 6.0 of 10

    A generalized Cardy-like formula using the soliton mass as vacuum energy reproduces the entropy of charged rotating AdS and Lifshitz black holes in three dimensions.

  2. Thermodynamics of four-dimensional regular black holes with an infinite tower of regularized curvature corrections

    gr-qc 2025-05 conditional novelty 5.0 of 10

    Planar regular black holes from an infinite tower of higher-curvature corrections are thermodynamically indistinguishable from singular GR black holes, while spherical horizons may lift this degeneracy.

  3. Imaginary potential and thermal width in the spinning black hole background from holography

    hep-ph 2025-01 conditional novelty 3.0 of 10

    In the planar limit of the Myers-Perry black hole, increasing the boost parameter makes the imaginary quarkonium potential appear at smaller separations and enlarges the thermal width, most strongly for transverse pai...

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